742813013 has 2 divisors, whose sum is σ = 742813014. Its totient is φ = 742813012.

The previous prime is 742812997. The next prime is 742813021. The reversal of 742813013 is 310318247.

742813013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 435056164 + 307756849 = 20858^2 + 17543^2 .

It is an emirp because it is prime and its reverse (310318247) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 742813013 - 2⁴ = 742812997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (742813613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371406506 + 371406507.

It is an arithmetic number, because the mean of its divisors is an integer number (371406507).

Almost surely, 2^742813013 is an apocalyptic number.

It is an amenable number.

742813013 is a deficient number, since it is larger than the sum of its proper divisors (1).

742813013 is an equidigital number, since it uses as much as digits as its factorization.

742813013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 742813013 is about 27254.5961811948. The cubic root of 742813013 is about 905.6488384503.

The spelling of 742813013 in words is "seven hundred forty-two million, eight hundred thirteen thousand, thirteen".